Algebra - Expanding brackets

Expanding positive brackets (simple)

100

2(x + 3)

 2x + 6

200

5 ( 4 + p ) 

20 + 5p 

300

7 ( 6d + 5 )

42d +35

400

3a(a + 4)

3a² + 12a

500

3t ( 4p + 7t) 

12tp + 21t²

Expanding negative brackets (simple)

100

3 ( f - 4 )

3f - 12

200

-3(x + 4)

-3x - 12

300

- 4 ( - g + 10)

4g -40

400

-4x(y - 6)

-4xy + 24x

500

-2/3(x - 6)

-2/3 x+ 12

Expanding single brackets

100

3 + 2(x + 9)

 2x +21

200

5 ( f + 7) - 14

5f + 21

300

12 - 5( 4 + p) 

- 8 -5p

400

10y -8(4x - 5y)

50y -32x

500

2(x + 4) + 5(2x + 3y)

 3 + 2(x + 9)

Mixture

100

3(5a + 2b)

 15a + 6b

200

8 ( 5a - 2b) 

40 a - 16b 

300

11h ( 4t +7)

44ht +77

400

6c ( df + 6c ) 

6cdf + 36c²

500

2(3p - 2q) - 7p

-p - 4q